<span>1) ac2-ad+c3-cd-bc2+bd= = (ac2 – ad) + (c3 –
bc2) + (bd – cd) = a·(c2 – d) + c2·(c – b) + d·(b – c) = a·(c2 – d) +
c2·(c – b) – d·(c – b) = a·(c2 – d) + c2·(c – b) – d·(c – b) = a·(c2 –
d) + (c – b)·(c2 – d) = (c2 – d)·(a + c – b)</span>
<span>2) mx2+my2-nx2-ny2+n-m= x2 ( m - n ) + y2 ( m - n ) - ( m - n ) = ( m-n ) (x2 + y2 - 1 ) </span>
<span>3) am2+cm2-an+an2-cn+cn2= m2 (a + c ) + n2 ( a + c ) - n ( a + c ) = ( a+ c) ( m2 + n2 - n) </span>
<span>4) <span> xy2-ny2-mx+mn+m2x-m2n= y2 ( x - n ) + m2 ( x - n) - m ( x - n ) = ( x-n) ( y2 + m2 - m ) </span></span>
<span>5) a2b+a+ab2+b+2ab+2=ab ( a + b + 2 ) + ( a+ b+ 2 ) = 2 ( a+ b + 2 ) </span>
6) x2-xy+x-xy2+y3-y2= x ( x – y + 1) – y 2 ( x – y + 1)=( x – y + 1)( x – y 2 ).
16a³ -2a²(8a-3)=16a³-16a³+6a²=6a²
3х(х+1)+4(х-1)=6 х≠1 х≠-1
3х²+3х+4х-4-6=0
3х²+7х-10=0
D=49+120=169
х=1 не корень
х=-20/6=-10/3
б)х(х+5)-6(х-5)=3х+35 х≠5 х≠-5
х²+5х-6х+30-3х-35=0
х²-4х-5=0
D=16+20=36
х=5 не корень
х=-1